where k is the rate constant at temperature T (Kelvin),
k0 is the pre-exponential factor, Ea is the activation energy
(kJ/mol) and R is the gas constant (8.314 J/mol K).
Therefore, if the temperature dependence follows Arrhenius
relationship, the plot of lnk vs 1/T would be a
straight line and the slope equal to Ea/R.
Fractional conversion is a convenient variable often
used in place of concentration (Levenspiel, 1974) and
has been reported to increase the accuracy of the calculation.
For an irreversible first order reaction kinetics,
the rate constant at constant temperature can be determined
through fractional conversion, f:
where k is the rate constant at temperature T (Kelvin),k0 is the pre-exponential factor, Ea is the activation energy(kJ/mol) and R is the gas constant (8.314 J/mol K).Therefore, if the temperature dependence follows Arrhenius relationship, the plot of lnk vs 1/T would be astraight line and the slope equal to Ea/R.Fractional conversion is a convenient variable oftenused in place of concentration (Levenspiel, 1974) andhas been reported to increase the accuracy of the calculation.For an irreversible first order reaction kinetics,the rate constant at constant temperature can be determinedthrough fractional conversion, f:
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